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Answer :
The speed of the current is equal to 8 miles per hour.
How to calculate the speed of the current?
Mathematically, speed of any physical object can be calculated by using this formula;
Speed = distance/time
Let the variable c represent the speed of the current in miles per hour. Therefore, the downstream and upstream speed relative to the water would be given by this mathematical expression:
Speed downstream = 14 + c.
Speed upstream = 14 - c.
Additionally, the total time would be given by:
Total time = total distance/speed
Time upstream + time downstream = 6.5 hours
33/(14 - c) + 33/(14 + c) = 7.0
Multiplying both sides of the equation by (14 - c)(14 + c), we have:
33(14 + c) + 33(14 - c) = 7.0(14 - c)(14 + c)
462 + 33c + 462 - 33c = 7.0(196 - c²)
924 = 7.0(196 - c²)
Dividing both sides of the equation by 7.0, we have:
132 = 196 - c²
Speed of the current, c² = 196 - 132
Speed of the current, c² = 64
Speed of the current, c = √64
Speed of the current, c = 8 miles per hour.
Read more on upstream speed here: brainly.com/question/13211669
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